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Numerical investigation of Waring's problem for cubes

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Abstract

Numerical results on Waring's problem for cubes are given. In particular strong evidence is presented indicating the truth of the conjectureG(3)=4, i.e. that every sufficiently large number can be written as the sum of at most 4 positive cubes.

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References

  1. Jing-jun Chen,Waring's problem for g(5), Sci. Sinica, 13 (1964), 1547–1568.

    Google Scholar 

  2. H. Davenport,On Waring's problem for cubes, Acta Math. 71 (1939), 123–143.

    Google Scholar 

  3. L. E. Dickson,Simpler proofs of Waring's theorem on cubes with various generalizations, Trans. Amer. Math. Soc., 30 (1928), 1–18.

    MathSciNet  Google Scholar 

  4. W. J. Ellison,Waring's problem, Amer. Math. Monthly, 78 (1971), 10–36.

    Google Scholar 

  5. R. L. Graham,Complete sequences of polynomial values, Duke Math. J. 31 (1964), 275–285.

    Google Scholar 

  6. Hardy-Wright,The Theory of Numbers, Oxford University Press (1960).

  7. A. E. Western,Computations concerning numbers representable by four or five cubes, J. London Math. Soc. 1 (1926), 244–250.

    Google Scholar 

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Bohman, J., Fröberg, CE. Numerical investigation of Waring's problem for cubes. BIT 21, 118–122 (1981). https://doi.org/10.1007/BF01934077

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